This paper studied the masterslave synchronization problem of the stochastic GenesioTesi system with bounded random parameters. The stochastic GenesioTesi system was first transformed into an equivalent deterministic nonlinear system by the Chebyshev polynomial approximation. Then based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a series of simple control laws were applied to the slave system to synchronize chaotic responses of two identical stochastic GenesioTesi systems under different initial conditions. Numerical analysis shows the effectiveness of the proposed chaos synchronization solution.